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Finding the Fourth Proportional to 567.80, 851.70 and 405.13

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Solution

The fourth proportional to 567.80, 851.70 and 405.13 is: 607.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.80 : 851.70 = 405.13 : x
  2. Step 2: Convert to fraction form
    567.80/851.70 = 405.13/x
  3. Step 3: Cross multiply
    567.80x = 851.70 × 405.13
  4. Step 4: Simplify right side
    567.80x = 345,049.22
  5. Step 5: Solve for x
    x = 345,049.22/567.80
  6. Step 6: Final answer
    x = 607.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.